Question

suppose the size of a population is n = 3500 and the sample size desired is n = 9. what value of k should be used to obtain a systematic sample from this population?
k =
(round down to the nearest whole number as needed.)

Explanation:

Step1: Recall the formula for k

In systematic sampling, $k=\frac{N}{n}$, where $N$ is the population size and $n$ is the sample size.

Step2: Substitute the given values

Given $N = 3500$ and $n=9$, we calculate $k=\frac{3500}{9}\approx388.89$.

Step3: Round down

We round down to the nearest whole number as required. So $k = 388$.

Answer:

388